Home
Class 12
MATHS
Integrate the function (sin^(-1)x)^2...

Integrate the function `(sin^(-1)x)^2`

Text Solution

AI Generated Solution

To integrate the function \((\sin^{-1} x)^2\), we can follow these steps: ### Step 1: Substitution Let \( t = \sin^{-1} x \). Then, we have: \[ x = \sin t \] Differentiating both sides gives: ...
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    NCERT|Exercise EXERCISE 7.10|10 Videos

  • INTEGRALS

    NCERT|Exercise EXERCISE 7.7|14 Videos

  • INTEGRALS

    NCERT|Exercise EXERCISE 7.9|22 Videos

  • DIFFERENTIAL EQUATIONS

    NCERT|Exercise EXERCISE 9.1|12 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    NCERT|Exercise MISCELLANEOUS EXERCISE|17 Videos

Similar Questions

Explore conceptually related problems

Integrate the functions x sin^(-1)x

Integrate the functions sin^(4)x

Integrate the functions sin^(-1)((2x)/(1+x^(2)))

Integrate the functions (sin^(2)x)/(1+cos x)

Integrate the functions (sin^(3)x+cos^(3)x)/(sin^(2)x cos^(2)x)

Integrate the functions x sin3x

Integrate the functions (x cos^(-1)x)/(sqrt(1-x^(2)))

integrate the function x sin x

Integrate the functions (sin^(8)-cos^(8)x)/(1-2sin^(2)x cos^(2)x)

Integrate the functions quad sin^(-1)(cos x)